The local grocery store wants to know if the shoppers prefer Crest or Colgate
toothpaste. The store gives all of its shoppers a value saver card, then uses a random
number generator to select 500 card numbers and surveys those shoppers.
Is this sampling method representative of the entire population and explain?

Yes it is because it uses probability. If there are 500 cards a and 500 people, then there is a 50/100 chance that it will be Crest or Colgate.

Step-by-step explanation:

Yes, all shoppers have a value card and the shoppers interviewed were chosen by a random number generator. Wrong No, some shoppers may not buy toothpaste there.

Step-by-step explanation:

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.